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Finding the Third Proportional to 7,542.75 and 10,824.38

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Solution

The third proportional to 7,542.75 and 10,824.38 is: 15,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.75 : 10,824.38 = 10,824.38 : x
  2. Step 2: Convert to fraction form
    7,542.75/10,824.38 = 10,824.38/x
  3. Step 3: Cross multiply
    7,542.75x = 10,824.38 × 10,824.38
  4. Step 4: Simplify right side
    7,542.75x = 117,167,094.14
  5. Step 5: Solve for x
    x = 117,167,094.14/7,542.75
  6. Step 6: Final answer
    x = 15,533.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.